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emmasim [6.3K]
3 years ago
7

K - 4.8=0.32 - 5.4k answer?

Mathematics
1 answer:
RSB [31]3 years ago
5 0

Answer:

k =4/5

Step-by-step explanation:

k - 4.8=0.32 - 5.4k\\\mathrm{Multiply\:both\:sides\:by\:}100\\k\times\:100-4.8\times\:100=0.32\times\:100-5.4k\times\:100\\\\Refine\\100k-480=32-540k\\\\Add\: 480\mathrm{\:to\:both\:sides}\\100k-480+480=32-540k+480\\\\Simplify\\100k=-540k+512\\\\\mathrm{Add\:}540k\mathrm{\:to\:both\:sides}\\100k+540k=-540k+512+540k\\\\Simplify\\640k=512\\\\\mathrm{Divide\:both\:sides\:by\:}640\\\frac{640k}{640}=\frac{512}{640}\\\\k=\frac{4}{5}

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Simplify each expression. 6mn3 -mn2 + 3mn3 +15mn2??
bekas [8.4K]

Answer:

9m(n)^3 +14m(n)^2

Step-by-step explanation:

6m(n)^3 - m(n)^2 + 3m(n)^3 + 15m(n)^2

=> 6m(n)^3 + 3m(n)^3 + 15m(n)^2 - m(n)^2

=> 9m(n)^3 +14m(n)^2

4 0
4 years ago
A black bear has a tail 190 mm long.How many cm is that?
GarryVolchara [31]

Answer:19

Step-by-step explanation:

Divide 190 by 10

7 0
4 years ago
Read 2 more answers
Bill weighs 120 lbs and is gaining ten lbs each month. Phil weighs 150 lbs and is gaining four lbs each month. How many months w
vaieri [72.5K]
First, let's write two expressions, letting x= the number of months which have elapsed:

Bill: 120 + 10x
Phil: 150 + 4x

If we set them equal to each other, then solve for x, that will be the number of months where their weights equal each other:

120+10x = 150 + 4x   [starting equation]
-120  -4x    -120 -4x    [ subtract 120 from both sides, and 4x from both sides, to isolate the term with the variable]

<u>6x</u> = <u>30</u>     [divide both sides by 5]
 5      5

x=6. They will weigh the same in six months.

5 0
3 years ago
Read 2 more answers
The hypotenuse of a 30°-60°-90° triangle is 18. Find the lengths of the other sides.
Romashka-Z-Leto [24]

Answer:

  9, 9√3

Step-by-step explanation:

The ratios of sides in a 30°-60°-90° triangle are ...

  1 : √3 : 2

The shortest is half the longest. If the longest is 18, the others are 9, 9√3.

7 0
3 years ago
Given f(x)=-1/7√16-x^2 find f^-1(x)
Vera_Pavlovna [14]

Answer:

f^{-1}(x)=\pm \sqrt{49x^2-16}

Not a function.

Step-by-step explanation:

The given function is;

f(x)=-\frac{1}{7}\sqrt{16-x^2}

Let y=-\frac{1}{7}\sqrt{16-x^2}

Interchange x and y;

x=-\frac{1}{7}\sqrt{16-y^2}

Solve for y;

-7x=\sqrt{16-y^2}

Square both sides

(-7x)^2=(\sqrt{16-y^2})^2

49x^2^2=16-y^2

49x^2^2-16=y^2

y=\pm \sqrt{49x^2-16}

The inverse is

f^{-1}(x)=\pm \sqrt{49x^2-16}

f^{-1}(x)=\pm \sqrt{49x^2-16} is not a function because one x-value maps onto to different y-values.

6 0
3 years ago
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